document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117496>Question 117496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the sum of the recipricals of two consecutive integers is 7/12. find the two intergers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85514 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the integers be x and x+1<BR>\n" );
document.write( "1/x + 1/(x+1) = 7/12<BR>\n" );
document.write( "12(x+1)+12x=7x(x+1) Multiply each side by 12x(x+1) to eliminate fractions.<BR>\n" );
document.write( "12x+12+12x=7x^2+7x<BR>\n" );
document.write( "7x^2-17x-12=0<BR>\n" );
document.write( "7*-12=-84 What factors of -84 when added equal -17? Ans.: -21, 4<BR>\n" );
document.write( "7x^2-21x+4x-12<BR>\n" );
document.write( "7x(x-3)+4(x-3) Factor by grouping.<BR>\n" );
document.write( "(7x+4)(x-3)=0<BR>\n" );
document.write( "x=3 only answer that is an integer.<BR>\n" );
document.write( "3, 4 Ans.<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "1/3 + 1/4<BR>\n" );
document.write( "=4/12 + 3/12<BR>\n" );
document.write( "=7/12<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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document.write( " </SPAN>\n" );
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